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Signals and Systems

ISBN: 9780138097318 | 0138097313
Format: Hardcover
Publisher: Prentice Hall Professional Technical Reference
Pub. Date: 11/1/1982

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Table of Contents
... MORE
Signals and Systems
Continuous-Time and Discrete-Time Signals
Transformations of the Independent Variable
Exponential and Sinusoidal Signals
The Unit Impulse and Unit Step Functions
Continuous-Time and Discrete-Time Systems
Basic System Properties
Linear Time-Invariant Systems
Discrete-Time LTI Systems: The Convolution Sum
Continuous-Time LTI Systems: The Convolution Integral
Properties of Linear Time-Invariant Systems
Causal LTI Systems Described by Differential and Difference Equations
Singularity Functions
Fourier Series Representation of Periodic Signals
A Historical Perspective
The Response of LTI Systems to Complex Exponentials
Fourier Series Representation of Continuous-Time Periodic Signals
Convergence of the Fourier Series
Properties of Continuous-Time Fourier Series
Fourier Series Representation of Discrete-Time Periodic Signals
Properties of Discrete-Time Fourier Series
Fourier Series and LTI Systems
Filtering
Examples of Continuous-Time Filters Described by Differential Equations
Examples of Discrete-Time Filters Described by Difference Equations
The Continuous-Time Fourier Transform
Representation of Aperiodic Signals: The Continuous-Time Fourier Transform
The Fourier Transform for Periodic Signals
Properties of the Continuous-Time Fourier Transform
The Convolution Property
The Multiplication Property
Tables of Fourier Properties and Basic Fourier Transform Pairs
Systems Characterized by Linear Constant-Coefficient Differential Equations
The Discrete-Time Fourier Transform
Representation of Aperiodic Signals: The Discrete-Time Fourier Transform
The Fourier Transform for Periodic Signals
Properties of the Discrete-Time Fourier Transform
The Convolution Property
The Multiplication Property
Tables of Fourier Transform Properties and Basic Fourier Transform Pairs
Duality
Systems Characterized by Linear Constant-Coefficient Difference Equations
Time- and Frequency Characterization of Signals and Systems
The Magnitude-Phase Representation of the Fourier Transform
The Magnitude-Phase Representation of the Frequency Response of LTI Systems
Time-Domain Properties of Ideal Frequency-Selective Filters
Time- Domain and Frequency-Domain Aspects of Nonideal Filters
First-Order and Second-Order Continuous-Time Systems
First-Order and Second-Order Discrete-Time Systems
Examples of Time- and Frequency-Domain Analysis of Systems
Sampling
Representation of a Continuous-Time Signal by Its Samples: The Sampling Theorem
Reconstruction of a Signal from Its Samples Using Interpolation
The Effect of Undersampling: Aliasing
Discrete-Time Processing of Continuous-Time Signals
Sampling of Discrete-Time Signals
Communication Systems
Complex Exponential and Sinusoidal Amplitude Modulation
Demodulation for Sinusoidal AM. Frequency-Division Multiplexing
Single-Sideband Sinusoidal Amplitude Modulation
Amplitude Modulation with a Pulse-Train Carrier
Pulse-Amplitude Modulation
Sinusoidal Frequency Modulation
Discrete-Time Modulation
The Laplace Transform
The Laplace Transform
The Region of Convergence for Laplace Transforms
The Inverse Laplace Transform
Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot
Properties of the Laplace Transform
Some Laplace Transform Pairs
Analysis and Characterization of LTI System
Table of Contents provided by Publisher. All Rights Reserved.

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